Hi,
In fact, what you did is sufficient.
When you move the grid, your entire scene is translated/rotated/scale.
The world origin remains the center of the grid, so all your 3D points and camera have their coordinates corresponding to your new grid position.
Moving the grid is a simple way to define a coordinate system.
Hope it helps...
PS:
If the grid is where you want it to be, don't define a coordinate system with the "coordinate system tool". If you already did, delete it.